期刊
COMMUNICATIONS IN ALGEBRA
卷 40, 期 8, 页码 2932-2948出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/00927872.2011.587855
关键词
Hypergroup; Gamma-Hypergroup; Gamma-Semigroup; Semihypergroup; Gamma-Semihypergroup
类别
In this article, we study Gamma-semihypergroups introduced recently. We introduce the hyper versions of Green's relations in Gamma-semihypergroups and give some related characterizations. We introduce the n-prime Gamma-hyperideal and n-semiprime Gamma-hyperideal of a Gamma-semihypergroup and show that for any integer n >= 2, n-prime Gamma-hyperideals are a generalization of prime Gamma-ideals. We also give the relationship between n-prime Gamma-hyperideals and Gamma-hyperideal extensions in Gamma-semihypergroups. Then, we deal with prime ideal and introduce the notion of prime radical in a Gamma-semihypergroup M, and also, we obtain some results and relations among the prime radicals of M and S, where S is the left operator semihypergroup of M.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据